Chapter 25 Review
Vibrations and Waves

Vibration: a wiggle in time
Wave: wiggle in space and time (Hewitt, 372)

25.1 Vibration of a Pendulum
  • Period: The time required for a pendulum to make one back and forth swing
  • Equation: t= 2Π √L/g
  • The longer the pendulum the longer the period, shorter the pendulum the shorter the period
25.2 Wave Description
  • Simple harmonic motion: The back and forth vibrating motion of a swinging pendulum.
  • Sine curve: A curve whose shape represents the crests and troughs of a wave.
  • Crest: One of the places in a wave where the wave is highest or the disturbance is greatest on the wave.
  • Trough: One of the places in a wave where the wave is lowest or the disturbance is greatest to the opposite crest.
  • Amplitude: The distance from the midpoint to the maximum crest of a wave or, from the midpoint to the minimum trough.
  • Wavelength: The distance from the top of one crest to the top of the next one.
  • Frequency: How frequently a vibration occurs
    • Frequency= 1/period
    • Period= 1/frequency
Examples:
Kaitlyn's heart beats 70 times per minute what is the period and frequency of her heart's beats? Answer: Frequency=70 Period= 1 minute
In Pittsburgh there is an unsafe building that is 500 meters high. It oscillates in the wind with a period of 4.45 seconds. What is the frequency of the vibration? Answer: 1/4.45=.225 Hz
  • Hertz: A unit of frequency
  • Source of all waves is something that vibrates
25.3 Wave Motion
  • When energy is transferred by a wave from a vibrating source to a receiver, there is no transfer of matter between the two points.
  • The energy transferred from a vibrating source to a receiver is passed by a change in a medium
external image Transverse-Wave.png
http://www.science-class.net/Notes/Images_8th_Notes/Transverse-Wave.png
25.4 Wave Speed
  • The speed of a wave depends on the medium through which the wave moves.
  • Whatever the medium, the speed, frequency, and wavelength of the wave are related
  • Wave speed= frequency * wavelength
  • Low frequencies have long wavelengths and high frequencies have shorter wavelengths.
25.5 Transverse Waves
· Transverse wave: Whenever the motion of the medium is at right angles to the way in which a wave travels.
25.6 Longitudinal Waves
  • Longitudinal wave: A wave in which the vibration is in the same direction the wave is traveling.
  • Sound waves are longitudinal.
external image slin_com.gif
http://clackhi.nclack.k12.or.us/physics/projects/experiments/1999/Deb%20&%20Liz/slin_com.gif

25.7 Interference
  • Interference pattern: A pattern formed by the overlapping of two or more waves that arrive in the same place at the same time.
  • Constructive interference: The addition of two or more waves when wave crests overlap.
  • Destructive interference: Combination of waves where crest parts of one wave overlap through parts of another, resulting in a wave of decreased amplitude.
  • Out of phase: Term applied to two waves for which the crest of one wave arrives at the same place and at the same time that a trough of the second wave arrives.
  • In phase: Term applied to two or more waves whose crests and troughs arrive at the same place at the same time.
25.8 Standing Waves
  • Standing wave: Wave in which parts of the wave remain stationary and the wave does not appear to be traveling.
  • Node: Any part of a standing wave that remains still.
  • Antinodes: The positions on a standing wave where the largest amplitudes are.
25.9 Doppler Effect
  • Doppler Effect: The change in frequency of a wave due to the motion of the source or of the receiver. (Hewitt, 383)
  • Blue shift: An increase in the frequency of light from source; called this because the increase is toward the high frequency, or blue, end of the color spectrum.
  • Red shift: A decrease in the measured frequency of light from a withdrawing source; called this because the decrease is toward the low frequency, or red, end of the color spectrum.
  • The greater the speed of the source, the greater the Doppler effect will be.
  • The pitch of the sound is greater when the source moves toward you, and less when it moves away.
external image DOPPLER1.GIF
http://asms.k12.ar.us/classes/physics/GENERAL/CATHERIN/DOPPLER1.GIF
25.10 Bow Waves
· Bow wave: The v-shaped wave produced by a moving object on a liquid surface faster than the wave speed.
· Something can be supersonic if it travels faster than sound.
· Bow waves are created by a speed boat going through the water and is made by the overlapping of many waves crests.
external image 124895-004-BDC9E53F.jpg
http://media-2.web.britannica.com/eb-media/95/124895-004-BDC9E53F.jpg
25.11 Shock Waves
· Shock wave: A cone shaped wave produced by an object moving at supersonic speed through a liquid.
· Shock wave is produced by overlapping spheres that form a cone.
· Sonic boom: The sharp crack heard when the shock wave that comes from a supersonic aircraft.
Works Cited
Hewitt, Paul G. Conceptual Physics: With Expanded Technology The High School Physics Program. New York: Addison-Wesley Pub (Sd), 1999.